Solve the following LP problem by graphical methods (label the axes). Be as accurate as possible. Choose the “right” scale for your axes.

a) Report the optimal production plan by listing ALL its components, including surplus variables.

b) Formulate the dual problem and solve it by using the information derived from the Complementary Slackness Conditions of the equilibrium problem.

c) Verify that the optimal value of the primal ob ective function is equal to the optimal value of the dual ob ective function.

max TR = 2x1 + x2 sub ect to 21 +32 12 321 +3x2 -321 + 12 21 12 VI VI VI VI 2834 Line 1 Line 2 Line 3 Line 4 10, 2 0. x2